Which is the correct output (B or C) for the appropriate test? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A student compared organic food prices at Grocery 1 and Grocery 2. The same items were priced at each store. The first three items are shown in the accompanying Figure A. Choose the correct accompanying output (B or C) for the appropriate
test, explaining why you chose that output. Then test the hypothesis that the population means are not equal using a significance level of 0.05. Assume
i Figure A and Outputs
Click the icon to view Figure A and the outputs.
Which is the correct output (B or C) for the appropriate test? Explain.
(Figure A)
Food
Grocery 1
0.89
Grocery 2
0.99
A. Output B is appropriate because the data are paired samples.
Bananas/1 Ib
Grape tomatoes/1 Ib
Russet potato/5 Ib
4.19
4.49
B. Output C is appropriate because there are two samples.
4.69
4.49
C. Output B is appropriate because n2 25.
(Figure B)
D. Output C is appropriate because the data are independent samples.
N
Mean StDev
SE Mean
Test the hypothesis that the population means are not equal using a significance level of 0.05.
Grocery 1
Grocery 2
Difference
38
2.94
1.22
0.20
38
2.85
1.28
0.21
Determine the hypotheses for this test. Let Hdifference be the population mean difference between Grocery 1 prices and Grocery 2 prices. Choose the co
38
0.09
1.18
0.19
95% Cl for difference: (-0.298,0.478)
T-Test of mean difference =0 (vs +): T-Value = 0.47 P-value = 0.641
B. Ho: Hdifference
< 0
A. Ho: Hdifference +0
Ha: Hdifference
= 0
Ha: Hdifference
#0
Paired T-Test and Cl: Grocery 1, Grocery 2
(Figure C)
C. Ho: Hdifference
= 0
D. Ho: Hdifference
= 0
Ha: Hdifference
<0
Ha: Hdifference
>0
N
Mean
StDev
SE Mean
Grocery 1
Grocery 2
38
2.94
1.22
0.20
E. Ho: Hdifference
Ha: Hdifference
>0
F. Ho: Hdifference =0
Ha: Hdifference
38
2.85
1.28
0.21
+0
#0
Difference = u (Grocery 1) -µ (Grocery 2)
Determine the test statistic for this test.
Estimate for difference: 0.09
95% Cl for difference: (- 0.482,0.662)
t=
(Type an integer or a decimal. Do not round.)
T-Test of difference = 0 (vs +): T-Value = 0.31 P-value = 0.755
Two-sample T-Test and Cl: Grocery 1, Grocery 2
Determine the p-value for this test.
Transcribed Image Text:A student compared organic food prices at Grocery 1 and Grocery 2. The same items were priced at each store. The first three items are shown in the accompanying Figure A. Choose the correct accompanying output (B or C) for the appropriate test, explaining why you chose that output. Then test the hypothesis that the population means are not equal using a significance level of 0.05. Assume i Figure A and Outputs Click the icon to view Figure A and the outputs. Which is the correct output (B or C) for the appropriate test? Explain. (Figure A) Food Grocery 1 0.89 Grocery 2 0.99 A. Output B is appropriate because the data are paired samples. Bananas/1 Ib Grape tomatoes/1 Ib Russet potato/5 Ib 4.19 4.49 B. Output C is appropriate because there are two samples. 4.69 4.49 C. Output B is appropriate because n2 25. (Figure B) D. Output C is appropriate because the data are independent samples. N Mean StDev SE Mean Test the hypothesis that the population means are not equal using a significance level of 0.05. Grocery 1 Grocery 2 Difference 38 2.94 1.22 0.20 38 2.85 1.28 0.21 Determine the hypotheses for this test. Let Hdifference be the population mean difference between Grocery 1 prices and Grocery 2 prices. Choose the co 38 0.09 1.18 0.19 95% Cl for difference: (-0.298,0.478) T-Test of mean difference =0 (vs +): T-Value = 0.47 P-value = 0.641 B. Ho: Hdifference < 0 A. Ho: Hdifference +0 Ha: Hdifference = 0 Ha: Hdifference #0 Paired T-Test and Cl: Grocery 1, Grocery 2 (Figure C) C. Ho: Hdifference = 0 D. Ho: Hdifference = 0 Ha: Hdifference <0 Ha: Hdifference >0 N Mean StDev SE Mean Grocery 1 Grocery 2 38 2.94 1.22 0.20 E. Ho: Hdifference Ha: Hdifference >0 F. Ho: Hdifference =0 Ha: Hdifference 38 2.85 1.28 0.21 +0 #0 Difference = u (Grocery 1) -µ (Grocery 2) Determine the test statistic for this test. Estimate for difference: 0.09 95% Cl for difference: (- 0.482,0.662) t= (Type an integer or a decimal. Do not round.) T-Test of difference = 0 (vs +): T-Value = 0.31 P-value = 0.755 Two-sample T-Test and Cl: Grocery 1, Grocery 2 Determine the p-value for this test.
What is the conclusion for this test?
A. Reject Ho. The population means are significantly different.
O B. Reject Họ. The population means are not significantly different.
C. Do not reject Ho. The population means are not significantly different.
O D. Do not reject Ho. The population means are significantly different.
Transcribed Image Text:What is the conclusion for this test? A. Reject Ho. The population means are significantly different. O B. Reject Họ. The population means are not significantly different. C. Do not reject Ho. The population means are not significantly different. O D. Do not reject Ho. The population means are significantly different.
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